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Simplifying 7 + 12t + 2(2t + -1) = 2(2t + 1) Reorder the terms: 7 + 12t + 2(-1 + 2t) = 2(2t + 1) 7 + 12t + (-1 * 2 + 2t * 2) = 2(2t + 1) 7 + 12t + (-2 + 4t) = 2(2t + 1) Reorder the terms: 7 + -2 + 12t + 4t = 2(2t + 1) Combine like terms: 7 + -2 = 5 5 + 12t + 4t = 2(2t + 1) Combine like terms: 12t + 4t = 16t 5 + 16t = 2(2t + 1) Reorder the terms: 5 + 16t = 2(1 + 2t) 5 + 16t = (1 * 2 + 2t * 2) 5 + 16t = (2 + 4t) Solving 5 + 16t = 2 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 5 + 16t + -4t = 2 + 4t + -4t Combine like terms: 16t + -4t = 12t 5 + 12t = 2 + 4t + -4t Combine like terms: 4t + -4t = 0 5 + 12t = 2 + 0 5 + 12t = 2 Add '-5' to each side of the equation. 5 + -5 + 12t = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 12t = 2 + -5 12t = 2 + -5 Combine like terms: 2 + -5 = -3 12t = -3 Divide each side by '12'. t = -0.25 Simplifying t = -0.25
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